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1) Suponga que la temperatura Optima para la leche de Un bebe es de 98*. Una madre luego de calentarle la leche a su bebe a 150*F la pone frente 4 un ventilador q...

Question

1) Suponga que la temperatura Optima para la leche de Un bebe es de 98*. Una madre luego de calentarle la leche a su bebe a 150*F la pone frente 4 un ventilador que hecha aire a 70PF. Luego de 2 minutos encuentra que la temperatura de la leche es de H58F: {Cuanto tiempo adicional tendra que esperar para que la leche alcance la temperatura optima?

1) Suponga que la temperatura Optima para la leche de Un bebe es de 98*. Una madre luego de calentarle la leche a su bebe a 150*F la pone frente 4 un ventilador que hecha aire a 70PF. Luego de 2 minutos encuentra que la temperatura de la leche es de H58F: {Cuanto tiempo adicional tendra que esperar para que la leche alcance la temperatura optima?



Answers

Describe the transit of breast milk from lactocytes to nipple pores.

Were given that the average weight of a baby born in the 19 hundreds with £6.4 ounces and in 2000 it was £6.10 ounces. We need to find the rate of change which is our slope And we need to find what the weight will be in 2014. So basically we have two points. We have 1900 and then £6.4 ounces. We're gonna change it all into four, I mean into pounds. So if we're divided by 16 is 160.25 so £6.25 And then we have the year 2000 And then we have six 10 divided by 16 becomes 6.626 6.625 So those are a coordinate points. So this is X one, Y one X two Y 2. So our slope formula is Y tu minus Y one over X two minus X one. We replace our values 6.625 -6.25, Divided by 2000 -1900 Becomes 6.625 -6.25. This becomes .375, Divided by 2000 -1900 is 100. So this reduces 2.375 divided by 100. This comes out to be .00375 ounces £4 per year, sorry, pounds per year. So if we come up with an equation we have Y is equal to mx plus B. So we know our why value 6.25 Is equal to our slope which is .00375 Terms are x value of 1900 so we can find our B. So we have 6.25 is equal 2.0035 times 1900 Comes out to be 7.125 plus B. We subtract -7.125, So 6.25 -7.125 comes out to be negative .875 is equal to be. So our equation is why is equal 2.375 X plus groups, not plus minus .875. So now we can find when it's 2014. So we have wise .00375 times 2014 -175. So .00375 times 2040 -175 comes out to be £6.775.. And so if we change that to pounds and ounces, .775 times 16 comes out to be. So in 2040 the weight is going to be £6 and 12.4 balances.

Okay, So for that column, Number eight were asked to find how, when the milk consumption of a newborn cow is greatest and how much it is. So we're given this formula to try to figure it out. It's a function p of X equals negative 0.2 x squared plus 1.3 x plus 6.2. All right, so there's a few steps we can take in the beginning to set up the problem and approach solving it. So the 1st 1 we know that p of x, we consent p of X equals wide suggest to substitute it to make make the equation much more familiar to us. So using X and why we get why equals negative 0.2 x squared plus 1.3 x plus six points use essentially the same thing. But the only thing we're doing, the only thing we're changing is subsiding. Why, for p of X and then the second thing is that we realize this is a quadratic formula because we have the X squared over here, and because of that, we want to figure out if it's up or down. So is that isn't an open facing parabola and that it would look something like this open facing, so facing towards the top, Or does it look something a little bit more like this? The problem is facing down. So we, as we see here, this one has a maximum by value. Versus this one has a minimum value. So we can see this by looking at its the, um, the coefficient over here. So we can you we can rewrite the standard formula for a problem as why equals a X squared plus B x plus c and then So the way that we find out if it's up or down, we, if a is greater than zero, that it must be an upward facing for Ebola. However, if a is less than zero, in which case this is because it's a negative number. Negative 0.2. It must be a downward facing for Ebola. So we see here half speed, downward facing problem. So it must look something a little bit more like this. Not exactly, but rough sketch um, and then the next step is to find to use the vertex for a minute to find X so we can use his formula negative. Be over to a Essentially we get We use the same music coefficients A, B and C But using these ones in this formula, we get B is 1.3 over two times negative 0.2 and then using a calculator, we get that this is 3.25 So this is the ex Formula X co ordinate so equals X. And the next thing we want to find out, we want to find why So X is the number of weeks old. So that is, that answers the question of wind. The mill conceptions greatest. That is, in 3.25 weeks. So 3.25 weeks. So that answers the first part of the question. However, we still want to know how much does that? Um, how much milk doesn't consume. So for that, we want to find out why. So then the next Abbasi use acts, define the y, value the vortex on. We do that by simply substituting. So we get why equals you get a 0.2 3.25 squared plus 1.3 x plus 6.2 and we just use a calculator, and then eventually we find the answer, which is eight 0.31 to 5 about so that is the amount of milk consumed.

In this problem, we are going to use our slope formula and are linear equations to explore the the rate of growth of births in the United States. So the information that we know in 1900 the average birth weight was £6.4 ounces in the year 2000. The average birth weight was two with £6.10 ounces. And we're going to use this to determine What the average birth weight might be in the year 2040 if this trend continues in a linear fashion. So the first thing we need to do is get our um weights converted into ounces. So we know that there are 16 oz in a pound. So six times 16 is 96 plus the four this £16.4 ounces is 100 ounces. And then six times 16 plus the 10. This one is 106 oz. So we are going to change these into ordered pairs so that we can apply our slope formula and write a linear equation. So we're going to let X be the year and why be the birth weight? So our two ordered pairs that we have right now will be 1900 comma 100 In 2000 comma 106. Now to find the rate of change, we're going to use our slope formula. The slope formula is y tu minus Y. One over X two minus X one. Okay, remember these are X values. These are Y values. So why to- Why? one would be 106 -100 And X 2 -11 will be 2000 well minus 1900. So our slope would equal 106 -100 Is six in 2000 -1900 is 100. And that reduces to be 3/50. Now remember the top has the wise which is weights and the bottom has the excess which is years. So it looks like we have an increase of three ounces for every 50 years. And that's the rate of change in the reduced format. Now, in order to predict What the birth weight the average birth mate weight might be. If this trend continues in 2040, we're going to use the point slope form of the line to write a linear equation. Yeah. So we need to fill in the Y value from one of the points, the slope that we computed and then the corresponding X. Value from one of those points. Yeah. So our slope is 3/50. Mhm. We can use either X. value that we want. I'm going to use the 1900 4 X. And the 100 for Y. And we are going to take this equation And let's go ahead and add 100 to both sides. Yes. So why would be the average weight? And that's going to equal 3/50 times our except for X. I'm sorry. This should have just been X all along our X. Which is our year minus 1900 Plus the 100 that we added to both sides. So this is the equation that will predict the birth weight. So we are going to let X be 2040. Mhm. Yeah. Yeah. And then we are going to use this to find out what the weight might be. Yeah. Mhm. Yeah, cleaning it up a little bit. 2040 -19:00 is 1 40. So we have y equals 3/50. Times 140 -1 plus 100 1 40. Yeah, Times three divided by 50 Is 8.4. Yeah. Yeah. Plus the 100 Is 108.4. And remember these are in ounces. So to convert this back into pounds and ounces We are going to see how many times 16 will go into. Wanna wait mm And it's going to go six times. So we have six lb Plus .75 of a pound. And that is 0.75 time 16. So that will be 12. Yeah. Yeah. Yeah. So with this trend continues in 2000 and 40 the average weight of the baby will be £6.12 ounces with the rate of change of 3/50. Okay.

Hi and thank you for taking my answer. This question. So this is question 103 from the textbook, and it's talking about the mean age of we need and La Leche League claims that the mean weaning age is greater than four for greater. And we took a sample in America and we're trying to test if that claim, uh, is valid or not. So first we want to set up our knoll and alternative hypothesis. So what I have here is that the no hypothesis is the claim by little h a league that the mean winning age is four years or greater. An alternative hypothesis is gonna be that the meanest less than for So now the question says that they took a sample of 21 Children, and they said that the mean and I'm gonna put the mean in years, so the mean is gonna be 9/12 of a year because we take months and divided by 12. That'll give us the same units as our claim, and the standard deviation is gonna be four out of 12 years for 12. So because we're not given a population standard deviation, we were never told the true standing ovation of the population. Our random variable for the sample X bar. Our random variable is gonna follow a T distribution aura. Students to distribution. Now we're given the sample mean the sample standard deviation in the sample science. So we can go ahead and calculate our test statistic for the students to distribution our test statistic on your race. Make some more room here. Okay? Our test statistic T is gonna follow like this. We're gonna take our sample, mean expert, We're gonna subtract away the I mean, under the no hypothesis of the claim you. Now we're gonna divide it by our sample standard deviation divided by the square root of our sample size. So now, using our data from our sample, she is gonna equal nine over 12. That's our sample. Mean we're gonna subtract away the claim, which is four years, and divide that by our sample standard deviation s, which is four out of 12 yours divided by the square root of our sample size. Which is tor you. Okay. And when you calculate that you're going to get a value of about 44. Excuse me? Negative 44 the 0.52 So that is our test statistic. Now, using that in the calculator, we can calculate a p value. So let me draw occur for this. So remember, this is gonna be a T distribution zero and then blew. Negative. 44.5 is gonna be very far away from the curve. It's gonna live somewhere out here. That's our test statistic from our sample and R P value is going to be remembered the area to the left. So all of this density, the left is gonna be our p value. So when you use the calculator to calculate that you should get a P value of basically zero are a very, very small number. And if you think about that intuitively, well, this test statistic is so far away from the center of the distribution that the area accumulated under here is infant Chesley, small and rounding in the calculator that that'll give you so zip Utah. Okay, so with the p value of zero at the 00.5 significance level, we reject the no hypothesis. We reject the claim that ah, the mean age for winning is greater than 4 to 5 And if you think about it, if we look at our sample, we sample the mean age of nine months. I mean, that's really far off from the claims. So intuitively, you can kind of imagine that Well, it's probably not true. So we reject the no hypothesis, And we, we believe that mean actually is far less than four. That's clean. So that was using a hypothesis test. Uh, we can also make a confidence interval, and the confidence interval will tell us kind of with the confidence level of Alfa. What? What we think that the mean of the population actually is. So our formula for the confidence interval we'll always be like this. I'm gonna start with the point estimate. I'm gonna just write pointy for estimate, plus or minus the critical value. So do you, Chris, Times the standard air. Now, our sample was from a T distribution. So for our point estimate, we're going to use X bar. The sample mean which is given are critical value is gonna be the T critical value, and then our standard error is gonna be s our sample standard deviation over the square root event now in the problem. We have all of this information except for our critical value. But we can calculate our critical value using the inverse t command in the tea I 84 calculator. So you're gonna want inverse teen. It's gonna be, uh, our significance level divided by two, which is the area of the distribution we want to calculate at a sniff against level of 0.5 we are gonna use 0.25 because if we divide our Alfa by two, we get points you're five, then the second, oh piece of information is gonna be the degrees of freedom, which is going to be the sample size minus one in our sample size and was 21. So then, for our difficulties of freedom, I'm gonna put 20 and putting that into the calculator, we're gonna get a value. Ah, about two 2.5 about So now, back to our formula for the confidence interval. Our ex bar or a sample mean in months was 9 12 plus or minus are critical value is going to be 2.5 and we're gonna multiply that by the standard air, which our sample standard deviation was 1/3 R s, and we can divide that by the sample size, which is 21. We take the square root of that sample size, and this is going to give us a confidence interval with a lower bound of about 0.607 and an upper bound of about 0.893 So how do we interpret this confidence interval? Yeah, if we repeated our sampling procedure many times Ah, we would expect that the true mean falls between 0.67 and 0.893 years of weaning age. So if you remember from the question, the claim was that the winning age was four years or larger. But based on our sample, we would, uh, expect the true mean toe lie between this interval with our point estimate of about, uh 9 12 year, which is 120.75 So again, uh, the confidence interval is just another way to think about what the true parameter or the true mean Weenie Ages in our population and this again is far short of the claim for years. So two different ways to look at this problem. The hypothesis test, where we calculated a p value of zero and reject the null hypothesis. And then our confidence interval will tell us the ah true mean which will lie somewhere in between this interval. Thank you.


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